SOLUTION: Find the axis of symmetry.
y = x² - x + 5
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Question 173359: Find the axis of symmetry.
y = x² - x + 5
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the axis of symmetry, use this formula: .
Start with the given formula.
From , we can see that , , and .
Plug in and .
Negate to get .
Multiply 2 and to get .
So the axis of symmetry is .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the axis of symmetry.
y = x² - x + 5
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There are at least two ways:
1st: x = -b/2a = 1/2
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2nd: Complete the square:
x^2-x + ? = y-5 + ?
x^2 -x + (1/2)^2 = y - 5 + (1/2)^2
(x-(1/2))^2 = y -20/4 + 1/4
(x-(1/2)^2 = y-(19/4)
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Axis of symmetry: x = 1/2
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Obviously the 1st way is the quickest way to find the axis of symmetry.
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Cheers,
Stan H.
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